 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...side AE is equal to the side BE, /. 5. therefore AB is bisected at E. QEF ..W & PROB. 5. At a given point in a given straight line to make an angle equal to a given angle. Let A be the given point in the given straight line BC, DEF the given angle : it is required to draw from A a straight line... | |
 | Euclides - 1884 - 434 pages
...in a given straight line, to make an angle equal to the supplement of a given angle. 2. At a given point in a given straight line, to make an angle equal to the complement of a given angle. 3. If one angle of a triangle is equal to the sum of the other two,... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...perpendicular to BD (BI, P. XVI, C.). PROBLEM IV. At a point on a given straight line, to construct an angle equal to a given angle. Let A be the given point, AB the given line, and IKL the given angle. indefinite arc BO ; then, with a radius equal to the chord LI, from B as a centre,... | |
 | Edinburgh Mathematical Society - Mathematics - 1887 - 316 pages
...BE equal to BC, and DF equal to DE. AF is the straight line required. 7. Euclid I. 3. 8. At a given point in a given straight line to make an angle equal to a given angle. Euclid I. 23. Tartaglia's solution. If the aperture is too small, which will be the case when the given... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...equal parts. PROPOSITION XXIIL—PROBLEM. 62. At a given point in a given straight line, to construct an angle equal to a given angle. Let A be the given point in the straight line ABj and 0 the given angle. ^^ With 0 as a centre, and with any radius, describe... | |
 | Euclid - Geometry - 1890 - 442 pages
...b < a ; 3°, let O' meet on BC only, so that X, Y coincide, Proposition 23. PROBLEM — At a given point, in a g'iven straight line, to make an angle equal to a given angle. A Let A be given ; and let P be given pt. in given st. line PS. Take any two pts. B, C in the lines... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...KF, FG, GK=A, B, C. _'K. ''. A / l/\\ , ' '\ N 1 IF G 5 'HE ML PROPOSITION 23. PROBLEM. At a given point in a given straight line to make an angle equal to a given rectilineal angle. Let AB be the given straight line, and A the point in it, and DCE the given rectilineal... | |
 | Thomas J. Foster - Coal mines and mining - 1891 - 444 pages
...% of AB, describe two arcs cutting each other at D, and draw the line D C. At a point on a iriveii straight line, to make an angle equal to a given angle.—...point, AB the given line, and EFG the given angle. From F as a center, with any radios FG describe the arc E G. From A as a center, with the same radius, describe... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1891 - 154 pages
...be equal to three given straight lines, any two of which are greater than the third. 23. At a given point in a given straight line, to make an angle equal to a given angle. 25. If two triangles have two sides of the one respectively equal to two sides of the other but the... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...to three given straight lines, any two of which are together greater than the third. 23. At a given point in a given straight line to make an angle equal to a given rectilineal angle. 24. If two triangles have two sides of the one equal to two sides of the other,... | |
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At a point in a given straight line to make an angle equal to a given angle. 
